Solve 3/5x-15=6/5x+12

$$\frac { 3 } { 5 } x - 15 = \frac { 6 } { 5 } x + 12$$

Solve for x

$$x=-45$$

Steps for Solving Linear Equation

Subtract \frac{6}{5}x from both sides.

$$\frac{3}{5}x-15-\frac{6}{5}x=12$$

Combine \frac{3}{5}x and -\frac{6}{5}x to get -\frac{3}{5}x.

$$-\frac{3}{5}x-15=12$$

Add 15 to both sides.

$$-\frac{3}{5}x=12+15$$

Add 12 and 15 to get 27.

$$-\frac{3}{5}x=27$$

Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.

$$x=27\left(-\frac{5}{3}\right)$$

Express 27\left(-\frac{5}{3}\right) as a single fraction.

$$x=\frac{27\left(-5\right)}{3}$$

Multiply 27 and -5 to get -135.

$$x=\frac{-135}{3}$$

Divide -135 by 3 to get -45.

$$x=-45$$